Pith Number

pith:FQ2GKHNV

pith:2011:FQ2GKHNVW7IZESBPQSJPDM5IVE

not attested not anchored not stored refs pending

The chiral phase transition and the role of vacuum fluctuations

Jens O. Andersen, Lars T. Kyllingstad, Rashid Khan

arxiv:1102.2779 v1 · 2011-02-14 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQ2GKHNVW7IZESBPQSJPDM5IVE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:28:46.463412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c34651db5b7d192482f8492f1b3a8a9053ce82aef3c135cb63c14c5a61a3f37

Aliases

arxiv: 1102.2779 · arxiv_version: 1102.2779v1 · doi: 10.48550/arxiv.1102.2779 · pith_short_12: FQ2GKHNVW7IZ · pith_short_16: FQ2GKHNVW7IZESBP · pith_short_8: FQ2GKHNV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FQ2GKHNVW7IZESBPQSJPDM5IVE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2c34651db5b7d192482f8492f1b3a8a9053ce82aef3c135cb63c14c5a61a3f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315cc295c6a99ea6d75e9700666e80a600f628524254d8d89066a707013aa9ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-02-14T14:29:22Z",
    "title_canon_sha256": "c0981cf42f0fb593c4fa748de552a1efd381858cfb9a757d04546ddfca50e81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2779",
    "kind": "arxiv",
    "version": 1
  }
}